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Finding the Fourth Proportional to 28,211.64, 42,345 and 13,430.76

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Solution

The fourth proportional to 28,211.64, 42,345 and 13,430.76 is: 20,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,211.64 : 42,345 = 13,430.76 : x
  2. Step 2: Convert to fraction form
    28,211.64/42,345 = 13,430.76/x
  3. Step 3: Cross multiply
    28,211.64x = 42,345 × 13,430.76
  4. Step 4: Simplify right side
    28,211.64x = 568,725,532.20
  5. Step 5: Solve for x
    x = 568,725,532.20/28,211.64
  6. Step 6: Final answer
    x = 20,159.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.